Remarks of congruent arithmetic sums of theta functions derived from divisor functions

dc.authorid	0000-0001-8756-8085
dc.contributor.author	Kim, Aeran
dc.contributor.author	Kim, Daeyoul
dc.contributor.author	İkikardeş, Nazlı Yıldız
dc.date.accessioned	2026-02-23T10:33:09Z
dc.date.issued	2013
dc.department	Fakülteler, Necatibey Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümü
dc.description	İkikadeş, Nazlı Yıldız (Balikesir Author)
dc.description.abstract	In this paper, we study a distinction the two generating functions : ϕ k (q) = P∞ n=0 rk(n)q n and ϕ ∗,k(q) = ϕ k (q) − ϕ k (q 2 ) (k = 2, 4, 6, 8, 10, 12, 16), where rk(n) is the number of representations of n as the sum of k squares. We also obtain some congruences of representation numbers and divisor function.
dc.identifier.doi	10.5831/HMJ.2013.35.3.351
dc.identifier.endpage	372
dc.identifier.issue	3
dc.identifier.startpage	351
dc.identifier.uri	http://doi.org/10.5831/HMJ.2013.35.3.351
dc.identifier.uri	https://hdl.handle.net/20.500.12462/23063
dc.identifier.volume	35
dc.language.iso	en
dc.publisher	Gwangju: Honam Mathematical Society
dc.relation.ispartof	Honam Mathematical Journal
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	Remarks of congruent arithmetic sums of theta functions derived from divisor functions
dc.type	Article